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Finding the Fourth Proportional to 10,236, 14,125.68 and 5,820

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Solution

The fourth proportional to 10,236, 14,125.68 and 5,820 is: 8,031.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,236 : 14,125.68 = 5,820 : x
  2. Step 2: Convert to fraction form
    10,236/14,125.68 = 5,820/x
  3. Step 3: Cross multiply
    10,236x = 14,125.68 × 5,820
  4. Step 4: Simplify right side
    10,236x = 82,211,457.60
  5. Step 5: Solve for x
    x = 82,211,457.60/10,236
  6. Step 6: Final answer
    x = 8,031.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.